document.write( "Question 626636: An Exterior Angle Of A Regular Polygon Is Four Times Smaller Than Its Interior Angle.how Many Sides Does The Polygon Have? \n" ); document.write( "
Algebra.Com's Answer #394331 by stanbon(75887)\"\" \"About 
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An Exterior Angle Of A Regular Polygon Is Four Times Smaller Than Its Interior Angle.how Many Sides Does The Polygon Have?
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\n" ); document.write( "Let the interior angle be \"4x\".
\n" ); document.write( "Then the exterior angle will be \"x\".
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\n" ); document.write( "Equation: x + 4x = 180
\n" ); document.write( "5x = 180
\n" ); document.write( "x = 36 degrees (measure of each exterior angle)
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\n" ); document.write( "The sum of all of the exterior angles is always 360 degrees.
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\n" ); document.write( "# of sides = # of exterior angles = 360/36 = 10
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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